Using the definitions of δand δ′-shocks for the systems of conservation laws [12], [13], [39], the Rankine–Hugoniot conditions for δand δ′-shocks are derived. We present a construction of solutions to the Cauchy problems admitting δand δ′-shocks. In particular, the Riemann problem admitting shocks, δ-shocks, δ′-shocks, and vacuum states is considered. The geometric aspects of δand δ′-shocks are...

Consider a given abstract root system Δ and some simple root system Π ⊂ Δ. We may represent β ∈ Δ as a linear combination of elements of Π with integer coefficients of the same sign. By definition, we know that the elements of Π are linearly independent. Thus, such a representation of β is unique and exactly one of ±β is a positive root associated to Π. Δ+ is simply the set of all positive root...

Fatty acid desaturation enzymes perform dehydrogenation reactions leading to the insertion of double bonds in fatty acids. ω-3 desaturase has an important role in converting ω-6 fatty acids into ω-3 fatty acids. Although genes for this desaturase have been identified, the enzymatic activity of Δ-17 with or without transmembrane domain, and the function of the Δ-17 desaturase is poorly understoo...

The role of peroxisome proliferator--activated receptor- δ (PPAR δ) gene in colon carcinogenesis remains highly controversial. Here, we established nude mice xenograft model using a human colon cancer cell line KM12C either with PPAR δ silenced or normal. The xenografts in PPAR δ-silenced group grew significantly larger and heavier with less differentiation, promoted cell proliferation, increas...

Background: Infections caused by Candida spp. have been associated with formation of a biofilm, i.e. a complex microstructure of cells adhering to a surface and embedded within an extracellular matrix (ECM). Methods: The ECMs of a wild-type (WT, SN425) and two Candida albicans mutant strains, Δ/Δ tec1 (CJN2330) and Δ/Δ efg1 (CJN2302), were evaluated. Colony-forming units (cfu), total biomass (m...

OBJECTIVES A previous multi-isotope study of archaeological faunal samples from Skútustaðir, an early Viking age settlement on the southern shores of Lake Mývatn in north-east Iceland, demonstrated that there are clear differences in δ(34)S stable isotope values between animals deriving their dietary protein from terrestrial, freshwater, and marine reservoirs. The aim of this study was to use t...

In anesthetized pigs, we investigated whether asynchrony (Δ T) and nonuniformity (regional differences) in contractility (Δ E) could describe the interaction between normal and stunned myocardium. Mechanical interaction was evaluated by regional postsystolic work (PSW) before and after production of stunning by a 5-min occlusion of the left circumflex coronary artery [LCX (LCX stunning)] and a ...

Retained bile acids, which are capable of inducing cell death, activate protein kinase Cδ (PKC-δ) in hepatocytes. In nonhepatic cells, both pro- and antiapoptotic effects of PKC-δ are described. The aim of this study was to determine the role of PKC-δ in glycochenodeoxycholate (GCDC)-induced apoptosis in rat hepatocytes and human HUH7-Na-taurocholate-cotransporting polypeptide (Ntcp) cells. Apo...

Hydrogen isotope (δ(2)H) analysis is widely used in animal ecology to study continental-scale movement because δ(2)H can trace precipitation and climate. To understand the biochemical underpinnings of how hydrogen is incorporated into biomolecules, we measured the δ(2)H of individual amino acids (AAs) in Escherichia coli cultured in glucose-based or complex tryptone-based media in waters with δ...

This paper concerns construction of additive stretched spanners with few edges for n-vertex graphs having a tree-decomposition into bags of diameter at most δ, i.e., the tree-length δ graphs. For such graphs we construct additive 2δ-spanners with O(δn+n log n) edges, and additive 4δ-spanners with O(δn) edges. This provides new upper bounds for chordal graphs for which δ = 1. We also show a lowe...